Note: Permissibility To Pray The Next Prayer With The Same Wudhu As The One Performed For The Previous Salah As Long As The Ablution Was Not Invalidated

💐 In The Name Of Allah The Most Gracious The Most Merciful

🗒️ Allah the Almighty knows best. 

If you have performed wudhu/ablution to pray Salat Ad-Dhuha, you can pray Salat Adh-Dhuhr with that wudhu if you're able to retain it. Likewise if you did wudhu to pray Tahajjud / Qiyaam Al-Layl, you can pray Salat Al-Fajr with that same wudhu as long as it was not invalidated (through flatulence, sleeping etc.).

https://binbaz.org.sa/fatwas/10040/%D8%AD%D9%83%D9%85-%D8%A7%D9%84%D9%88%D8%B6%D9%88%D8%A1-%D8%A8%D9%86%D9%8A%D8%A9-%D8%B5%D9%84%D8%A7%D8%A9-%D8%A7%D9%84%D9%86%D8%A7%D9%81%D9%84%D8%A9-%D8%AB%D9%85-%D8%B5%D9%84%D8%A7%D8%A9-%D8%A7%D9%84%D9%81%D8%B1%D9%8A%D8%B6%D8%A9-%D8%A8%D8%B0%D9%84%D9%83-%D8%A7%D9%84%D9%88%D8%B6%D9%88%D8%A1